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Here you have to determine
which of these numbers
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is the smallest, and then
the next smallest, and so on.
4
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This is difficult,
because the numbers
5
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are expressed in a
variety of different ways.
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There are fractions,
decimals, and a number
7
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in scientific standard form.
8
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In order to work
this out, it is best
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to choose a way of representing
all the numbers which
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allows you to compare.
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The best way here is
to express the numbers
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as a decimal number.
13
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You can use a
calculator to help you.
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Each of the answers are
to four decimal places,
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which should be enough
to allow us to determine
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the order in which
the numbers fall.
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3/9 is 0.3333.
18
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0.3321 is already a decimal
number, and so is 0.3321.
19
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4/7 is 0.5714.
20
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7/16 is 0.4375.
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The next number is in
scientific standard form.
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And 4.181 multiplied by
10 to the power minus 1
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is the same as 0.4181.
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And finally, 6/13 is 0.4615.
25
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Because all these numbers are
now expressed in a similar way,
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it is relatively
straightforward to determine
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the order in which they fall.
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And so 0.3321 is
sixth, 3/9 is fifth,
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4.181 times 10 to the minus
1 is fourth, 7/16 is third,
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6/13 is second, and 4/7
is the largest number.
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You can see the advantage
of expressing the numbers
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all in a similar way, as it
allows you to easily determine
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their size.